All Entangled States are Nonlocal and Self-Testable in the Broadcast Scenario
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866914205767041024 |
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| author | Sekatski, Pavel Pauwels, Jef |
| author_facet | Sekatski, Pavel Pauwels, Jef |
| contents | Entanglement and Bell nonlocality are known to be inequivalent: there exist entangled states that admit a local hidden-variable model for all local measurements. Here we show that this gap disappears in a minimal broadcast extension of the Bell scenario. Assuming only the validity of quantum theory, we prove that for every entangled state $ρ_{AB}$ there exist local broadcasting maps and local measurements such that the resulting four--partite correlations cannot be reproduced by any broadcast network whose source is separable across the $A|B$ cut. Thus, all entangled states are broadcast nonlocal in quantum theory. In addition, we show that all (also mixed) multipartite states can be broadcast-self-tested, according to a natural operational definition. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_15656 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | All Entangled States are Nonlocal and Self-Testable in the Broadcast Scenario Sekatski, Pavel Pauwels, Jef Quantum Physics Entanglement and Bell nonlocality are known to be inequivalent: there exist entangled states that admit a local hidden-variable model for all local measurements. Here we show that this gap disappears in a minimal broadcast extension of the Bell scenario. Assuming only the validity of quantum theory, we prove that for every entangled state $ρ_{AB}$ there exist local broadcasting maps and local measurements such that the resulting four--partite correlations cannot be reproduced by any broadcast network whose source is separable across the $A|B$ cut. Thus, all entangled states are broadcast nonlocal in quantum theory. In addition, we show that all (also mixed) multipartite states can be broadcast-self-tested, according to a natural operational definition. |
| title | All Entangled States are Nonlocal and Self-Testable in the Broadcast Scenario |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2512.15656 |